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Titlebook: Kernel Determination Problems in Hyperbolic Integro-Differential Equations; Durdimurod K. Durdiev,Zhanna D. Totieva Book 2023 The Editor(s

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發(fā)表于 2025-3-21 18:35:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Kernel Determination Problems in Hyperbolic Integro-Differential Equations
編輯Durdimurod K. Durdiev,Zhanna D. Totieva
視頻videohttp://file.papertrans.cn/543/542448/542448.mp4
概述Focuses on the applied significance in the study of the properties of composites and polymers.Studies direct and inverse problems for hyperbolic convolution-type integro-differential equations.Discuss
叢書名稱Infosys Science Foundation Series
圖書封面Titlebook: Kernel Determination Problems in Hyperbolic Integro-Differential Equations;  Durdimurod K. Durdiev,Zhanna D. Totieva Book 2023 The Editor(s
描述.This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics..
出版日期Book 2023
關(guān)鍵詞inverse problem; stability; kernel; Dirac delta function; hyperbolic integro-differential equation; visco
版次1
doihttps://doi.org/10.1007/978-981-99-2260-4
isbn_softcover978-981-99-2262-8
isbn_ebook978-981-99-2260-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
issn_series 2363-6149
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:36:08 | 只看該作者
Kernel Determination Problems in Hyperbolic Integro-Differential Equations978-981-99-2260-4Series ISSN 2363-6149 Series E-ISSN 2363-6157
板凳
發(fā)表于 2025-3-22 03:49:38 | 只看該作者
Durdimurod K. Durdiev,Zhanna D. TotievaFocuses on the applied significance in the study of the properties of composites and polymers.Studies direct and inverse problems for hyperbolic convolution-type integro-differential equations.Discuss
地板
發(fā)表于 2025-3-22 08:25:57 | 只看該作者
5#
發(fā)表于 2025-3-22 10:36:15 | 只看該作者
6#
發(fā)表于 2025-3-22 16:51:12 | 只看該作者
,Local Solvability of?One-Dimensional Kernel Determination Problems,This chapter discusses one-dimensional inverse problems of determining the memory of a medium entering into an integral term of convolution type in hyperbolic equations. In the Sect.?1.1, the problem of finding a kernel from an integro-differential wave equation in a half-space . is investigated.
7#
發(fā)表于 2025-3-22 17:24:43 | 只看該作者
,The Solvability of?Multidimensional Inverse Problems of?a?Memory Kernel Determination,For multidimensional inverse problems there are only special cases for which solvability is established. One of such classes of functions in which solvability takes place is the class of analytic functions. The technique used here is based on the scale method of Banach spaces of analytic functions, developed in the works of L.V.
8#
發(fā)表于 2025-3-22 21:29:47 | 只看該作者
Two-Dimensional Special Kernel Determination Problems,This chapter is devoted to the inverse problems of recovering a memory kernel in hyperbolic integro-differential equations, having a finite Fourier series with respect to one of the spatial variables.
9#
發(fā)表于 2025-3-23 04:02:58 | 只看該作者
,Some Inverse Problems of?Viscoelasticity System with?the?Known Kernel,In this chapter, we consider various inverse problems of viscoelasticity system with the known kernel.
10#
發(fā)表于 2025-3-23 09:21:21 | 只看該作者
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